Search a number
-
+
22073268 = 2237475591
BaseRepresentation
bin101010000110…
…0111110110100
31112112102211110
41110030332310
521122321033
62105035020
7355422360
oct124147664
945472743
1022073268
1111506a78
127485a70
13475b009
142d082a0
151e10363
hex150cfb4

22073268 has 48 divisors (see below), whose sum is σ = 60125184. Its totient is φ = 6171360.

The previous prime is 22073267. The next prime is 22073291. The reversal of 22073268 is 86237022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22073267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153 + ... + 6743.

It is an arithmetic number, because the mean of its divisors is an integer number (1252608).

Almost surely, 222073268 is an apocalyptic number.

22073268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22073268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30062592).

22073268 is an abundant number, since it is smaller than the sum of its proper divisors (38051916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22073268 is a wasteful number, since it uses less digits than its factorization.

22073268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 22073268 is about 4698.2196628085. The cubic root of 22073268 is about 280.5146487182.

The spelling of 22073268 in words is "twenty-two million, seventy-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3948 5591 11182 16773 22364 33546 39137 67092 78274 117411 156548 234822 262777 469644 525554 788331 1051108 1576662 1839439 3153324 3678878 5518317 7357756 11036634 22073268